Question I need these answered using financial calculator inputs to show work Sa
ID: 2735885 • Letter: Q
Question
Question I need these answered using financial calculator inputs to show work
Sam Strother and Shawna Tibbs are vice presidents of Mutual of Seattle Insurance
Company and co-directors of the company’s pension fund management division. An
important new client, the North-Western Municipal Alliance, has requested that Mutual
of Seattle present an investment seminar to the mayors of the represented cities, and
Strother and Tibbs, who will make the actual presentation, have asked you to help them
by answering the following questions.
d. How is the value of a bond determined? What is the value of a 10-year, $1,000 par
value bond with a 10% annual coupon if its required rate of return is 10%?
e. (1) What would be the value of the bond described in part d if, just after it had been issued, the expected inflation rate rose by 3 percentage points, causing investors to require a 13% return?
Would we now have a discount or a premium bond?
(2) What would happen to the bond’s value if inflation fell and r d declined to 7%?
Would we now have a premium or a discount bond?
(3) What would happen to the value of the 10-year bond over time if the required rate of return remained at 13%? If it remained at 7%?
Explanation / Answer
the value of the bond = C * PVIFA(dr, n) + Par Value * PVIF(dr, n)
d. the value of the bond = 100 * PVIFA(10%,10) + $1000 * PVIF(10%,10)
= 100 * 6.145 + 1000 * 0.386 = $1000.50
e. (1)
the value of the bond = 100 * PVIFA(13%,10) + $1000 * PVIF(13%,10)
= 100 * 5.426 + 1000 * 0.295 = $837.60
We have discount of $162.40.
e.(2)
the value of the bond = 100 * PVIFA(7%,10) + $1000 * PVIF(7%,10)
= 100 * 7.024 + 1000 * 0.508 = $1210.40
We have premium of $210.40.
e. (3)
the value of the 10-year bond at R 13% = $837.60
the value of the 10-year bond at R 7% = $1210.40
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